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Finding the Third Proportional to 681,317 and 1,433,179

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Solution

The third proportional to 681,317 and 1,433,179 is: 3,014,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,317 : 1,433,179 = 1,433,179 : x
  2. Step 2: Convert to fraction form
    681,317/1,433,179 = 1,433,179/x
  3. Step 3: Cross multiply
    681,317x = 1,433,179 × 1,433,179
  4. Step 4: Simplify right side
    681,317x = 2,054,002,046,041
  5. Step 5: Solve for x
    x = 2,054,002,046,041/681,317
  6. Step 6: Final answer
    x = 3,014,752.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.